72764867 has 16 divisors (see below), whose sum is σ = 85020672. Its totient is φ = 60989760.

The previous prime is 72764849. The next prime is 72764897. The reversal of 72764867 is 76846727.

It is a cyclic number.

It is not a de Polignac number, because 72764867 - 2¹⁰ = 72763843 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (72764807) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 66398 + ... + 67484.

It is an arithmetic number, because the mean of its divisors is an integer number (5313792).

Almost surely, 2^72764867 is an apocalyptic number.

72764867 is a deficient number, since it is larger than the sum of its proper divisors (12255805).

72764867 is a wasteful number, since it uses less digits than its factorization.

72764867 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1298.

The product of its digits is 790272, while the sum is 47.

The square root of 72764867 is about 8530.2325290698. The cubic root of 72764867 is about 417.4847152782.

The spelling of 72764867 in words is "seventy-two million, seven hundred sixty-four thousand, eight hundred sixty-seven".